That would depend on the target values you are maintaining in the aquarium, but in theory it can be true. In general, there are few ways that alk gets depleted that calcium is not also depleted. Two are rising nitrate and sulfur denitrators. I discuss what possible reasons they may be for an imbalance in the article linked below, and there are not a lot of them:
When Do Calcium and Alkalinity Demand Not Exactly Balance? by Randy Holmes-Farley - Reefkeeping.com
http://reefkeeping.com/issues/2004-12/rhf/index.htm
The other issue is that makes many people think (incorrectly) that they have alk demand and not calcium is simply that the calcium decline, on a percentage basis, is far lower and harder to detect with a kit than is the alk decline.
In general, I expect that most reefers who think they have only alkalinity declines actually dosed a properly designed two part for calcium and alkalinity, they would not see a rise in calcium.